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Finding the Fourth Proportional to 367,911.60, 507,720 and 214,958.76

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Solution

The fourth proportional to 367,911.60, 507,720 and 214,958.76 is: 296,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,911.60 : 507,720 = 214,958.76 : x
  2. Step 2: Convert to fraction form
    367,911.60/507,720 = 214,958.76/x
  3. Step 3: Cross multiply
    367,911.60x = 507,720 × 214,958.76
  4. Step 4: Simplify right side
    367,911.60x = 109,138,861,627.20
  5. Step 5: Solve for x
    x = 109,138,861,627.20/367,911.60
  6. Step 6: Final answer
    x = 296,644.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.